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Finding the Fourth Proportional to 256,113.63, 353,411.54 and 141,384.82

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Solution

The fourth proportional to 256,113.63, 353,411.54 and 141,384.82 is: 195,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,113.63 : 353,411.54 = 141,384.82 : x
  2. Step 2: Convert to fraction form
    256,113.63/353,411.54 = 141,384.82/x
  3. Step 3: Cross multiply
    256,113.63x = 353,411.54 × 141,384.82
  4. Step 4: Simplify right side
    256,113.63x = 49,967,026,968.82
  5. Step 5: Solve for x
    x = 49,967,026,968.82/256,113.63
  6. Step 6: Final answer
    x = 195,097.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.